| Base | Representation |
|---|---|
| bin | 110100011000110000101110… |
| … | …001010000000000000000000 |
| 3 | 1010012210000200010220012001100 |
| 4 | 310120300232022000000000 |
| 5 | 220144333200000000000 |
| 6 | 2134004144312534400 |
| 7 | 66346564532635035 |
| oct | 6430605612000000 |
| 9 | 1105700603805040 |
| 10 | 230400000000000 |
| 11 | 6745a1005367a6 |
| 12 | 21a110919b1400 |
| 13 | 9b7381c03945c |
| 14 | 40c75c317338c |
| 15 | 1b98375761a00 |
| hex | d18c2e280000 |
230400000000000 has 720 divisors, whose sum is σ = 831999203135100. Its totient is φ = 61440000000000.
The previous prime is 230399999999909. The next prime is 230400000000011. The reversal of 230400000000000 is 4032.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 34554081705984 + 195845918294016 = 5878272^2 + 13994496^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46079999999998 + ... + 46080000000002.
Almost surely, 2230400000000000 is an apocalyptic number.
230400000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230400000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415999601567550).
230400000000000 is an abundant number, since it is smaller than the sum of its proper divisors (601599203135100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230400000000000 is an frugal number, since it uses more digits than its factorization.
230400000000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 9.
Adding to 230400000000000 its reverse (4032), we get a palindrome (230400000004032).
The spelling of 230400000000000 in words is "two hundred thirty trillion, four hundred billion", and thus it is an aban number.
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